I agree, do something now while she is still a minor and you have some leverage.
Also, not to scare you, but cutting often goes along with eating disorders. Please watch carefully for any signs of this. (My daughter had anorexia and bulimia when she was younger, she would look like she was eating normally with the family, then would take a shower a while after dinner - ostensibly because the bathroom was too crowded in the mornings - and would throw up in the shower.)
